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Question -

Tell whether the statement is true or false:
(i) The mode is always one of the numbers in a data.
(ii) The mean is one of the numbers in a data.
(iii) The median is always one of the numbers in a data.
(iv) The data 6, 4, 3, 8, 9, 12, 13, 9 has mean 9.



Answer -

(i)The statement is givenabove is true.

Because, Mode is thevalue of the variable which occurs most frequently in the given data.

Hence, mode is alwaysone of the numbers in a data.

(ii)The statement is givenabove is false.

Because, mean is maybe or may not be one of the number in a data.

(iii)The statement is givenabove is true.

Because, median is thevalue of the middle-most observation in the given data while arranged inascending or descending order.

Hence, median isalways one of the numbers in a data

(iv)Mean = Sum of allgiven observations/ number of observations

= (6 + 4 + 3 + 8 + 9 +12 + 13 + 9)/8

= (64/8)

= 8

Hence, the givenstatement is false.

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